Answer:
37.5 miles per hour
Step-by-step explanation:
The traffic along a stretch road moves at an average speed that carried inversely as the number of cars
Average speed= k/number of cars.
When there are 1,500 cars the average speed is 45
The first step is to calculate the constant k
45= k/1500
k = 1,500 × 45
k= 67,500
Therefore the average speed when there are 1,800 cars can be calculated as follows
Average speed= 67,500/1,800
= 37.5 miles per hour
Hence the average speed is 37.5 moles per hour
If one of our zeros is 4, then the factor is x-4. If the second zero is 5i, then the conjugate root theorem says there HAS to be a root that is -5i. So our 3 factors are (x-4)(x+5i)(x-5i). We will FOIL out these factors to get the polynomial. Let's start with the ones that contain the imaginary numbers. Doing that mutliplication we get x^2-25i^2. i^2 is equal to -1, so what that expression simplifies down to is
. Now we will multiply in that last factor of (x-4):
. FOILing out we have
. There you go!
<span>(-5w^10+10w^8+5w^6)/(5w^5)
to divide we can factor out 5w^5 from the numerator
=[5w^5(-w^5+2w^3+w)]/(5w^5)
5w^5 will cancel out to have
=(-w^5+2w^3+w)
Hence
Answer:</span>(-w^5+2w^3+w)<span>
</span>
Answer:
x{#{@!
Step-by-step explanation:
Answer:
(- 4, - 2 )
Step-by-step explanation:
Under a rotation about the origin of 90°
a point (x, y ) → (- y, x ) , then
(- 2, 4 ) → (- 4, - 2 )
